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Quantum correction to the entropy of noncommutative BTZ black hole

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Abstract

In this paper we consider the generalized uncertainty principle (GUP) in the tunneling formalism via Hamilton–Jacobi method to determine the quantum-corrected Hawking temperature and entropy for noncommutative BTZ black hole. In our results we obtain several types of corrections including the expected logarithmic correction to the area entropy associated with the noncommutative BTZ black holes. We also show that the area entropy product of the noncommutative BTZ black holes is dependent on mass and by analyzing the nature of the specific heat capacity we have observed that the noncommutative BTZ black hole is stable at some range of parameters.

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Acknowledgements

We would like to thank CAPES and CNPq for financial support.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, Campina Grande, PB, 58429-900, Brazil

    M. A. Anacleto, F. A. Brito, A. G. Cavalcanti & E. Passos

  2. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-970, Brazil

    F. A. Brito

  3. Departamento de Física-CCT, Universidade Estadual da Paraíba, Juvêncio Arruda S/N, Campina Grande, PB, Brazil

    J. Spinelly

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  1. M. A. Anacleto
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  4. E. Passos
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Correspondence to F. A. Brito.

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Anacleto, M.A., Brito, F.A., Cavalcanti, A.G. et al. Quantum correction to the entropy of noncommutative BTZ black hole. Gen Relativ Gravit 50, 23 (2018). https://doi.org/10.1007/s10714-018-2344-x

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